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Popular >

derivative of x/(x+10)

Solution

\frac{d}{d x} (\frac{x}{x + 10})

Solution

\frac{10}{( x + 10 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x + 10})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d x}{d x} ( x + 10 ) - \frac{d}{d x} ( x + 10 ) x}{( x + 10 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (x + 10) = 1

= \frac{1 \cdot ( x + 10 ) - 1 \cdot x}{( x + 10 ) ^{2}}

1 \cdot (x + 10) - 1 \cdot x = 10

= \frac{10}{( x + 10 ) ^{2}}

Popular Examples

integral of ((x+5)/(x^2+11x+18))

\int (\frac{x + 5}{x ^{2} + 11 x + 18}) d x

limit as x approaches 0 of sqrt(1+x)

x \to 0 lim (1 + x)

integral of+(arcsin(x))^2

\int + (arcsin (x))^{2} d x

integral of (x^2)/(x+7)

\int \frac{x ^{2}}{x + 7} d x

y^{''}-2y^'-15y=e^{3x}cos(2x)

y^{^{''}} - 2 y^{^{'}} - 15 y = e^{3 x} cos (2 x)

Frequently Asked Questions (FAQ)

What is the derivative of x/(x+10) ?
The derivative of x/(x+10) is (10)/((x+10)^2)
What is the first derivative of x/(x+10) ?
The first derivative of x/(x+10) is (10)/((x+10)^2)